A reanalysis of a strongflow gyrokinetic formalism
Abstract
We reanalyse an arbitrarywavelength gyrokinetic formalism [A. M. Dimits, Phys. Plasmas 17, 055901 (2010)], which orders only the vorticity to be small and allows strong, timevarying flows on medium and long wavelengths. We obtain a simpler gyrocentre Lagrangian up to second order. In addition, the gyrokinetic Poisson equation, derived either via variation of the system Lagrangian or explicit density calculation, is consistent with that of the weakflow gyrokinetic formalism [T. S. Hahm, Phys. Fluids 31, 2670 (1988)] at all wavelengths in the weak flow limit. The reanalysed formalism has been numerically implemented as a particleincell code. An iterative scheme is described which allows for numerical solution of this system of equations, given the implicit dependence of the EulerLagrange equations on the time derivative of the potential.
 Authors:
 Centre for Fusion, Space and Astrophysics, Physics Department, University of Warwick, Coventry CV4 7AL (United Kingdom)
 Publication Date:
 OSTI Identifier:
 22408211
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 3; Other Information: (c) 2015 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICAL METHODS AND COMPUTING; FLOW MODELS; ITERATIVE METHODS; LAGRANGE EQUATIONS; LAGRANGIAN FUNCTION; NUMERICAL SOLUTION; POISSON EQUATION; WAVELENGTHS
Citation Formats
Sharma, A. Y., and McMillan, B. F.. A reanalysis of a strongflow gyrokinetic formalism. United States: N. p., 2015.
Web. doi:10.1063/1.4916129.
Sharma, A. Y., & McMillan, B. F.. A reanalysis of a strongflow gyrokinetic formalism. United States. doi:10.1063/1.4916129.
Sharma, A. Y., and McMillan, B. F.. 2015.
"A reanalysis of a strongflow gyrokinetic formalism". United States.
doi:10.1063/1.4916129.
@article{osti_22408211,
title = {A reanalysis of a strongflow gyrokinetic formalism},
author = {Sharma, A. Y. and McMillan, B. F.},
abstractNote = {We reanalyse an arbitrarywavelength gyrokinetic formalism [A. M. Dimits, Phys. Plasmas 17, 055901 (2010)], which orders only the vorticity to be small and allows strong, timevarying flows on medium and long wavelengths. We obtain a simpler gyrocentre Lagrangian up to second order. In addition, the gyrokinetic Poisson equation, derived either via variation of the system Lagrangian or explicit density calculation, is consistent with that of the weakflow gyrokinetic formalism [T. S. Hahm, Phys. Fluids 31, 2670 (1988)] at all wavelengths in the weak flow limit. The reanalysed formalism has been numerically implemented as a particleincell code. An iterative scheme is described which allows for numerical solution of this system of equations, given the implicit dependence of the EulerLagrange equations on the time derivative of the potential.},
doi = {10.1063/1.4916129},
journal = {Physics of Plasmas},
number = 3,
volume = 22,
place = {United States},
year = 2015,
month = 3
}

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